Unified algebraic Bethe ansatz for two-dimensional lattice models

被引:15
|
作者
Martins, MJ [1 ]
机构
[1] Univ Fed Sao Carlos, Dept Fis, BR-13565905 Sao Carlos, SP, Brazil
来源
PHYSICAL REVIEW E | 1999年 / 59卷 / 06期
关键词
D O I
10.1103/PhysRevE.59.7220
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
We develop a unified formulation of the quantum inverse scattering method for lattice vertex models associated to the nonexcrptionai A(2r)((2)), A(2r-1)((2)), B-r((1)), C-r((1)), D-r+1((1)), and D-r+1((2)) Lie algebras. We recast the Yang-Baxter algebra in terms of different commutation relations between creation, annihilation, and diagonal fields. The solution of the D-r+1((2)) model is based on an interesting 16-vertex model, which is solvable without recourse to a Bethe ansatz. [S1063-651X(99)07106-8].
引用
收藏
页码:7220 / 7223
页数:4
相关论文
共 50 条
  • [21] Algebraic Bethe ansatz and tensor networks
    Murg, V.
    Korepin, V. E.
    Verstraete, F.
    PHYSICAL REVIEW B, 2012, 86 (04)
  • [22] Algebraic Bethe Ansatz for N=4
    Jakubczyk, D.
    Lulek, T.
    Jakubczyk, P.
    Lulek, B.
    SYMMETRY AND STRUCTURAL PROPERTIES OF CONDENSED MATTER, 2010, 213
  • [23] Algebraic Bethe ansatz approach for the one-dimensional Hubbard model
    Ramos, PB
    Martins, MJ
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1997, 30 (07): : L195 - L202
  • [24] Exact solution of quantum optical models by algebraic Bethe ansatz methods
    Bullough, RK
    Bogoliubov, NM
    Timonen, JT
    Rybin, AV
    COHERENCE AND QUANTUM OPTICS VII, 1996, : 571 - 573
  • [25] Algebraic Bethe ansatz for integrable one-dimensional extended Hubbard models with open boundary conditions
    Ge, XY
    Gould, MD
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2003, 36 (07): : 1801 - 1825
  • [26] Algebraic Bethe ansatz for 19-vertex models with reflection conditions
    Utiel, W
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2003, 36 (36): : 9425 - 9447
  • [28] Two-dimensional lattice liquid models
    Ishimoto, Yukitaka
    Murashima, Takahiro
    Taniguchi, Takashi
    Yamamoto, Ryoichi
    PHYSICAL REVIEW E, 2012, 86 (03):
  • [29] Scalar products of Bethe vectors in the generalized algebraic Bethe ansatz
    Kulkarni G.
    Slavnov N.A.
    Theoretical and Mathematical Physics, 2023, 217 (1) : 1574 - 1594
  • [30] A Fibration of the Hipercubic Lattice in Bethe Ansatz
    Milewski, Jan
    Ambrozko, Edward
    SYMMETRY AND STRUCTURAL PROPERTIES OF CONDENSED MATTER, 2008, 104